Naian Liao: Continuity of the temperature in Stefan-type problems

Speaker
Naian Liao, University of Salzburg

Abstract
The classical Stefan problem aims to describe the evolution of the moving boundary between two phases of a material undergoing a phase change, for instance the melting of ice to water. One way to study the problem is the so-called enthalpy formulation. Weak solutions (temperature) can be found in proper function spaces. My talk concerns the first key property beyond the original functional analytic set-up, namely the continuity of weak solutions. I will present some recent advances in this direction.